Digital images are very popularly used for communications over the internet. Embedded information in the digital image has to be securely transmitted without any modification in the image. The biomedical telemedicine gains significant importance in information transmission and with increasing popularity with Tele-ophthalmology, requirement of medical data confidentiality and privacy also increases for data storage and secure transformation. The objective is to analyse  the bioimage encryption algorithms which provides security and privacy to the bioimages. In this paper retinal fundus image online available dataset have used. The proposed work is analysed by considering, three performance parameters such as PSNR, MSE and CR. The two different encryption algorithms namely block-based perceptual encryption (BBPE) and advanced encryption standard (AES) algorithm along with arithmetic compression have tested . The proposed work results tested on standard test images and retinal fundus images shows that the BBPE method attains PSNR of 27.58db , MSE of 3.20e+03 and CR of 4.27 for standard test images and 13.35db, 1.4046e+04 and 7.28 respectively for medical HRF images. The BBPE algorithm can be used in tele-ophthalmology and telemedicine applications.